GATE CE 2017 Set 1 — Question 1
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
The matrix is the inverse of a matrix . If denotes the identity matrix, which one of the following options is correct?
Correct answer
(C) PQ = I and QP = I
Solution
By the definition of the inverse of a matrix, if is the inverse of , then . This relationship implies that and . Therefore, both and must be true.
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